时间：2022年9月16日（周五）16:00-17:00
地点：西湖大学云谷校区E4-233
主持人: 理论科学研究院 古星博士
主讲人: 理论科学研究院 徐捷博士
讲座主题：The Yamabe-type Problems on Various Domains
讲座摘要: The Yamabe problem is a high dimensional generalization of the uniformization theorem on Riemann surfaces, which concerns the existence of a Yamabe metric that admits a constant scalar curvature. In this talk, we review the proof of the Yamabe problems on closed manifolds, which has been done by Yamabe, Aubin, Trudinger, and Schoen. We then discuss new proofs of the Yamabe-type problems on small Riemannian domain, on closed manifolds, on compact manifolds with boundary, etc. In particular, we show how to use new methods other than global calculus of variations to completely solve the Escobar problem and the Han-Li conjecture.
